340003244400 has 240 divisors, whose sum is σ = 1148332573440. Its totient is φ = 85755801600.

The previous prime is 340003244387. The next prime is 340003244447. The reversal of 340003244400 is 4442300043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×340003244400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14374984 + ... + 14398616.

It is an arithmetic number, because the mean of its divisors is an integer number (4784719056).

Almost surely, 2^340003244400 is an apocalyptic number.

340003244400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340003244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574166286720).

340003244400 is an abundant number, since it is smaller than the sum of its proper divisors (808329329040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340003244400 is a wasteful number, since it uses less digits than its factorization.

340003244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24304 (or 24293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 340003244400 its reverse (4442300043), we get a palindrome (344445544443).

The spelling of 340003244400 in words is "three hundred forty billion, three million, two hundred forty-four thousand, four hundred".